Method for automatically fabricating a dental superstructure for attachment to an implant

ABSTRACT

A system for a dental superstructure to be attached to an implant using a digital model description of a shape of the superstructure, the superstructure including first and second elements. The system comprises a computing device arranged to (a) analyze a recorded real clinical situation or shaped clinical situation of an implant axis and insertion axis, (b) compute a shape of the dental superstructure based at least in part on the determined implant axis, (c) generate digital data representing the shape of the superstructure, and (d) separate the computed shape into first digital data representing a shape of the first element to be connected to the implant and second digital data representing a shape of the second element to be connected to the first element, the shape of the first element being optimized, at least in part, based on a tilt angle between the determined implant axis and insertion axis.

CROSS REFERENCE TO RELATION APPLICATIONS

This application is a division of U.S. patent application Ser. No.10/541,010, filed Jun. 28, 2005, now issued as U.S. Pat. No. 7,901,209,which is a national phase filing under 35 U.S.C. 371 based onInternational Patent Application No. PCT/DE2003/004252, filed Dec. 31,2003, which claims priority to German Application No. 103 00 301.0,filed Jan. 2, 2003. The contents of each of those applications is herebyincorporated by reference, as if set forth fully herein.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The invention relates to a method of automatically fabricating a dentalsuperstructure, in particular an abutment possessing geometry forattachment to a dental implant. The superstructure may consist of one ormore elements. In multi-element superstructures for attachment to dentalimplants, one element of the superstructure, namely the abutment, servesthe biomechanical as well as the esthetic purpose of compensating forthe angular difference between the axis of the implant and the occlusaldirection in order to ensure that the masticatory forces are properlytransferred to the implant in esthetically feasible solutions.

The purpose of an abutment is, among other things, to provide on itsside oriented toward the jaw perfectly fitting means of attachment tothe implant and to provide on its side oriented toward the oral cavity astructure that can be fitted with conventional prosthetics. In order tofulfill the second requirement in particular, the side of the abutmentoriented toward the oral cavity has a post-like appearance. The postfollows the axis of the tooth to be replaced. This axis is perpendicularto the occlusal surface of the teeth, especially in the case of molars.

2. Description of the Prior Art

The shapes of individual abutments have hitherto been determined bydental technicians or by the attending dentist.

Only standard abutments are used in prior art technology. Standardabutments having fixed tilt angles are available on the market forcompensating the angle between the implant axis and the occlusion.

The procedure described in EP 1 062 916 A2 is based on inserting aso-called manipulation implant into a conventional cast and in thismanner creating a situation in the model that simulates the situation inthe patient's mouth after the implant has been introduced. This clinicalset-up is then scanned for the purpose of producing an abutment and, ifneeded, an associated second element of the superstructure. An auxiliarydevice is used for scanning. With this procedure, the tasks that thedental technician must perform in prior art technology are simulatedwith the aid of a computer, ie, on the basis of a digitized 3D model,the necessary intermediate steps of modeling the abutment, the frame,and the veneer being performed in the computer in order to enableproduction of the final superstructure by means of a computer-controlledgrinding machine. This is known as a CAD/CAM process.

Methods are disclosed in U.S. Pat. No. 5,989,029 and U.S. Pat. No.6,231,342 for computation of a customized abutment from several scanscarried out in different directions by modification of a standardabutment. With such methods, however, it is still necessary to make adental impression.

It is an object of the invention to make it possible to design the shapeof a customized abutment automatically within specific limits.

Determination of the compensating angle between the implant and the axisof the tooth, in addition to the outer design of the crown in relationto the occlusion, is critical for the proper functioning and estheticsof the superstructure.

SUMMARY

A method of automatically fabricating a multi-element superstructure, inparticular an abutment with a crown, to be attached to an implant withthe help of a digital model description of the shape, consists ofrecording the clinical situation or a shaped clinical situation of theimplant as digital data, analyzing this situation and determining theimplant axis, computing the optimum shape of the superstructure, andfabricating the individual elements from one or more blanks of a givenmaterial with the aid of said digital data using machining equipment.

The clinical situation corresponds to the actual situation in thepatient's mouth. The shaped clinical situation is different in thatmethods such as modeling the gums by wax build-up or determining thegingival profile with the help of a data set are employed.

By this means it is also possible to include the attachment surfacebetween the first element and the second element when computing theouter contour of the two-element superstructure. A suitable firstelement is, in particular, an abutment, a suitable second element beinga crown. In the method of the invention, the separation of thesuperstructure into abutment and crown and shaping of the abutment areaccomplished automatically. In doing so, the optimal customized shape ofthe abutment is created automatically according to the geometric,clinical, material and fabricating technology aspects.

In general the various parts of the superstructure are produced fromdifferent blanks. In some circumstances it is possible to use a singleblank for the manufacture of both the first and the second element ofthe superstructure.

According to one development, a mating surface between the digitallydisplayed first element of the superstructure and the digitallydisplayed second element of the superstructure is determined and takeninto account during fabrication.

The remaining form of the superstructure is advantageously described byat least two of the following parameters: the shoulder width, the angleof the superstructure in relation to the longitudinal axis of theimplant, the angle of rotation of the superstructure about thelongitudinal axis within the blank, and the height of the post.

The profile of the edge of the superstructure is such that it liesinside the blank used. The interfacial line between an upper element ofthe superstructure, for example a crown, and a lower element of thesuperstructure, for example an abutment, is designated as an edge. Foresthetic reasons, this edge should lie either flush with or below thegingival margin. The edge of the superstructure is determined eitherfrom a given clinical situation or from a shaped clinical situation.

By “dental superstructure” we mean any component that can be directlyattached to an implant. In particular, these are abutments, but they canalternatively be telescopes, etc.

The description of the shape or edge is provided as digital data in theform of a line, surface, or scattergram, or alternativelyparametrically. The shape of the entire superstructure can be digitallydepicted as consisting of outlines, as a plane, as a scattergram, and/oras a parametric description. Depiction with an outline and a set ofparameters has been chosen here by way of example.

According to one development, the shape of an abutment is optimized bymeans of one or more or all of the following parameters, namely theminimum shoulder width; the maximum post height, as determined by thetilt angle relative to the occlusal direction, the block geometry, andthe height of the occlusal surface; the maximum post height, which issuch that it is below the occlusal surface by a certain maximumdistance; the minimum post height, which is delimited by the location ofthe head of an occlusal screw; and the angle of rotation of the abutmentabout the longitudinal axis within the blank, which is given by therelative position of the implant in the clinical situation.

This optimization is achieved automatically with the aid of the digitaldata provided by the appropriate software, and the result is digitaldata that describe the abutment to be produced. These data may be madevisible for monitoring purposes by appropriate means, for example, bydisplaying a three-dimensional model on a screen.

The shape of the blank and the shape of the dental superstructure areadvantageously described in the coordinate system of the geometry forattachment to the implant. The implant attachment geometry is a fixedgeometry found in the implant as well as the blank and in thesuperstructure to be fabricated, and is produced with great precision.This circumstance makes it is possible, through skilled selection of acoordinate system, to dispense with conversion between differentcoordinate systems. In general, however, any known coordinate system issufficient, for example, the one used during scanning.

In problematic, ie, ambiguous cases, the implant axis can beadvantageously determined interactively by the user.

Additional embodiments of the method are disclosed in the subclaims.

BRIEF DESCRIPTION OF THE DRAWINGS

The method of the invention is illustrated below with reference to thedrawings, in which:

FIG. 1 is a diagram of a two-element superstructure for a dentalimplant,

FIGS. 2 a and 2 b show a clinical situation with two implants insertedin the jaw,

FIG. 3 shows the position of an abutment to be produced in a blank,

FIG. 4 shows a clinical situation during scanning,

FIG. 5 depicts computation of the superstructure for the clinicalsituation shown in FIG. 4,

FIGS. 6 a to 6 d show examples of the superstructure dismantled intoseveral elements

FIGS. 7 a and 7 b show an exemplary embodiment of conical crowns in twoviews

DETAILED DESCRIPTION

FIG. 1 is a diagram of a two-element superstructure, composed of a crown1 and an abutment 2, on an implant 3. The insertion direction of crown 1is indicated by an axis 4.

The position of implant 3 in the jawbone is illustrated by an additionalaxis 5. Axes 4 and 5 only rarely coincide, because the insertionposition of the implant in the clinical situation is dependent on thepatient and must be defined on the one hand in relation to the bonematerial available and on the other hand in relation to the existingteeth. These parameters are critical for correct positioning andorientation of the implant to ensure future mechanical stability duringthe process of chewing. The position of the implant with its axis 5 maytherefore differ from the position of the original root of the tooth.

Abutment 2 is joined to the end of implant 3 at the level of the jawboneby a form-fitting attachment geometry 6. The ideal abutment shapeexpands from the geometry for attachment toward the implant in such away that it forms with its abutment edge 7 a tooth cross section approx.1 mm below the gum (gingiva).

The abutment shape provides a shoulder 8 above and around abutment edge7, on which crown 1 rests. This shoulder 8 is wide enough to ensure thatthe wall thickness of the crown is not less than the minimum valuespecified for the material. Shoulder 8 merges into a post 9 of smallerdiameter.

This post 9 points in the insertion direction indicated by axis 4.Ideally, abutment 2, by its shape, compensates for the angle known asthe tilt angle between implant axis 5 and the insertion direction insuch a way that crown 1 can be mounted in the occlusal direction alongaxis 4 (see FIG. 3).

Instead of the occlusal direction, any other axis can be employed, suchas a common insertion axis for the upper element of the two-elementsuperstructure in a superstructure for multi-membered dentalrestorations.

In FIGS. 2 a and 2 b, a clinical situation with two implants imbedded ina jaw is illustrated in longitudinal section, in which situation a frame1′ instead of a crown is attached to two abutments 2′, 2″. Implants 3′,3″ exhibit axes 5′, 5″ that may be skew to each other (as shown in FIG.2 b). Abutments 2′, 2″, however, exhibit insertion axes 4′, 4″, whichare parallel to each other. Implants 3′, 3″ are anchored in the jawbone22 and extend to the gum 23.

An ideal abutment also has a cross section formed in such a way that itis twistproof, ie, it prevents the mounted crown from twisting on theabutment.

The outer geometry of the abutment conforms to the minimum dimensionsd₁, d₂, and d₃, to be explained below.

FIG. 3 is a diagram of an abutment 12 to be produced from a blank 11.Blank 11 has an attachment geometry 14 for allowing form-fittingattachment to an implant 13, and abutment 12 is positioned in blank 11in such a way that said abutment will include the attachment geometry14.

Blank 11 has a bore 15 for the accommodation of a screw for mounting theabutment on the implant. In the present embodiment bore 15 is concentricwith a center axis 16 of implant 13. Center axis 16 of implant 13,however, mainly specifies the direction of attachment of attachmentgeometry 14.

Blank 11 is cone-shaped in the region of the attachment geometry, sothat it predefines the design of the abutment toward an abutment edge17. A shoulder 18 that merges into a post 19 adjoins abutment edge 17.

Post 19 is disposed in blank 11 such that an axis 20 indicating thedirection of attachment of crown 1 intersects the center axis 16 at anangle. In principle, axes 16 and 20 can be skew to each other. However,it has been demonstrated that the use of intersecting axes issufficient.

In this manner there is the assurance that the head 21 (represented bydashed lines) of an occlusal screw lies inside bore 15, which isdelimited by the wall of abutment 12.

The optimal abutment shape differs from the ideal abutment shape suchthat the limiting conditions described below, namely the clinicalsituation and the technical requirements relating to geometry, material,and fabrication, are fulfilled.

The clinical situation defines the ideal shape of the abutment. Thesurrounding tooth situation is analyzed in addition to the position andorientation of the dental implant. Such analysis reveals the occlusiondirection along with the angle to be compensated by the abutment. Theheight of the occlusal table is also determined.

The blanks, usually ceramic blocks, that are used to manufactureabutments exhibit certain geometric constraints. Due to precisionrequirements, the size and shape of these blocks can only be varied to avery limited degree during fabrication. Not just any ideal abutmentshape can be produced from these blocks. Among other things, it isimportant to ensure that head 21 of the occlusal screw disappearscompletely inside the contours of abutment 12 (see FIG. 3).

The thicknesses of the material and in particular the ceramics used forabutment 2 and crown 1 mounted thereon may not fall below certainminimum values d₁, d₂, and d₃. These wall thicknesses are greatlydependent on the properties of the material used and can therefore beconsidered separately for each material.

If, when shaping the abutment, any engineering constraints arising fromthe method of fabricating the abutment and the crown are known, they,too, may influence the optimal shape of the abutment.

If, for example, it is known that both ceramic shapes will bemanufactured in a grinding machine having limited degrees of freedom fortheir tools, it can be confirmed, when generating the optimal shape,whether it is at all possible to shape the abutment by grinding. Thisapplies not only to the positive shape of the abutment but also to itsnegative shape, that is, the inside of the crown forming an attachmentsurface.

In order to automatically fabricate the ideal and optimal shape of anabutment, it is first necessary to have a model description of the shapeavailable. In this manner, the abutment edge, for example, can bedescribed as a line in the coordinate system of the implant attachmentgeometry, and the remaining shape as parameters.

The line defines the transition from the abutment to the crown and isspatially closed. It exists, say, as a list of points or as a function.For esthetic reasons, this line ideally runs somewhat below thesurrounding gum tissue.

The shoulder width, the tilt angle, the angle of rotation of theabutment about the longitudinal axis in the blank, and the post heightare considered as parameters.

The blank can also be described in terms of the coordinate system of itsattachment geometry, which perfectly matches the attachment geometry ofthe implant. The shape of the ideal abutment edge can then be adjustedlittle by little locally, so that this line lies completely within theouter contour of the blank 11 used.

To describe the entire abutment, it is merely necessary to optimize allparameters to all constraints. The shoulder width d_(s) has a minimumvalue of 1 mm for the standard ceramics used at the present time. Themaximum post height h_(max) is delimited by the tilt angle, the blockgeometry, and the height of occlusal table 22, and lies at least 1 mmbelow this height. The minimum post height h_(min) is delimited, below,by the position of head 21 of the occlusal screw.

The minimum height h_(min) and the maximum height h_(max) are measuredperpendicularly to axis 20, which indicates the direction of attachmentof crown 1 on post 19. The minimum shoulder width d_(s) will be measuredparallel to axis 20.

The angle of rotation of the abutment about the longitudinal axis in theblank derives from the relative position of the implant in the clinicalsituation and, because of the rotational symmetry of the blank, it isnot delimited further by said blank.

By using this method, the optimal customized abutment shape is generatedautomatically and can be fabricated by machining as needed.

At first the clinical situation or a shaped clinical situation of theimplant is digitally recorded, for example by means of an intraoralscanning camera. This situation is then analyzed, taking into accountthe adjacent teeth and the position and orientation of the implant, andthe implant axis is defined. This can be accomplished interactively, ifdesired. After this, all of the data are available for the automaticfabrication of an abutment shape. With the help of the constraintsdescribed above, first the ideal abutment shape is computed, and thenthe optimal abutment shape is computed from said ideal abutment shape.

The separation into two steps is not absolutely necessary, and inparticular the user does not have to see the standard abutment computedsubsidiarily. For ease of programming, a standard abutment is firstcomputed with reference to the constraining parameters such as the blockgeometry and the tilt angle, using construction rules, and this abutmentis subsequently adjusted to fit the desired profile.

Afterwards the user can focus on the formation of the crown.

Since both elements of the superstructure for the implant are availablein digital form, it is possible to ensure an optimum fit between them.The individual elements can be produced at any time with a machiningtool from any material, particularly ceramics or metal, but also fromplastics material.

FIG. 4 illustrates an implant 31 inserted in a jawbone (not shown) belowthe gingival margin 30. On each side of the implant 31 there areadjacent teeth 32, 33, which delimit the boundaries of the lateral spanof a superstructure to be constructed. The clinical situationillustrated in FIG. 4 is set up so that the actual course of gingivalmargin 30 in the immediate vicinity of implant 31 is converted to adesired profile by means of an adjustment piece 34, which profile,together with a measuring device 35 placed on implant 31, is scanned byan intraoral camera 36. The position and orientation of implant 31 canbe determined by measuring device 35, and the adjustment piece 34establishes the gingival profile.

A superstructure illustrated in FIG. 5 can be computed on the basis ofthe scanned data. The size and orientation of the dental crown neededfor the implant are defined from the known occlusal surfaces of theadjacent teeth. The cervical finish line of a tooth selected from adental library is placed in a mesio-distal direction slightly below thelevel measured by the adjustment piece 34. The cervical surface of thesuperstructure to be constructed is computed together with the knownposition of the implant head.

The superstructure in its component two elements is showndiagrammatically in FIG. 6 a, said elements consisting of an abutmentand a crown, which can be interconnected via a mating surface, alsodesignated as an interface. The design of this interface can be variedwithin limits by the user, as long as the other construction rules areobserved.

The essential factor is that the entire superstructure is computed inthis example and that the interface is also automatically determined.This interface allows the user to fabricate the superstructure from morethan one piece. This may be necessary for the reason that differentrestoration materials showing different characteristics may or must beemployed, because a design of higher esthetic value is required, orbecause the geometric conditions permit no other solution.

FIG. 6 b illustrates a superstructure comprising a cap and anappropriate abutment as components, the cap being veneered with ceramicsin conventional manner.

FIG. 6 c illustrates a superstructure comprising a reduced crown and anabutment as components of the final replacement. Because of its reducedsize, this crown is out of occlusion with the opposing tooth and thusexperiences no transferred forces other than residual forces occurringduring the process of chewing. In this manner it is possible for theuser to design the functionally correct crown as is actually required.This crown is then computationally reduced in size to ensure that it issafely disoccluded. In this case, the element can be produced from, say,plastics material. During a second session, a crown can then be groundaccording to the original data set and the final crown can be mounted.

FIG. 6 d illustrates a superstructure comprising a partially veneeredcrown and an abutment as components. The interface between the abutmentand the crown as well as that between the crown and the veneer can becomputed automatically according to the construction rules.

If one or more implants are to be equipped with telescopes or conicalcrowns, there are in principle two different ways of doing so. Theimplant, or a plurality of implants, is equipped with a normal abutment,and a telescope crown frame is attached to this abutment, onto which theprosthesis can be pushed. Alternatively, the abutment itself can bedesigned as a conical crown, as illustrated in FIGS. 7 a and 7 b. Inthis case the abutment does not form the usual crown post, but atelescope crown. In this case its shape can be described by a differentset of parameters. For example, a line might here again describe theoutline shape, whilst additionally the height of the cone and the angleof taper will define the shape within the outline. Implants 3′, 3″exhibit axes 5′, 5″, which may be skewed to each other (as illustratedin FIG. 7 a). The conical crowns 72′, 72″, however, exhibit insertionaxes 4′, 4″ that are parallel to each other. Implants 3′, 3″ areanchored in jawbone 22 and extend to gingiva 23. The separation intoabutment and crown or any other type of subdivision is then computedautomatically.

The rules to be observed when shaping the abutment are displayed in thecomputer and are implemented for automatic splitting to form theabutment and superstructure.

According to EP 1 062 916 A2 either a wax build-up or recourse to alibrary is used for shaping the abutment as well as the frame and theveneer. If a wax build-up is used, a plurality of scans will have to bemade in order to fabricate the abutment, frame, and veneer insuccession.

By contrast, the invention accelerates the entire procedure andcontributes to making the technology available to the dentist.

Since presently available implants, when they are used to replaceindividual teeth, cannot be immediately subjected to chewing forces, asthat would impair their internal attachment to the jawbone, so-calledhealing caps are used in the implant systems. After the implant has beeninserted, the dentist closes the mechanical connector formed on theimplant with a healing cap and sutures the gingiva together. In thecourse of a second operation approx. 8 weeks later, the dentist reopensthe region around the healing cap and then introduces a prostheticreplacement comprising an abutment and a superstructure. In othersystems, the healing cap is open and is situated at the level of thegingiva. The healing cap used here also serves to shape the gingiva suchthat it has a natural profile when compared with the adjacent teeth.

Superstructure 1 can have a plurality of abutments interconnected by acommon frame construction (see FIG. 2 a).

1. A system for a dental superstructure to be attached to an implantusing a digital model description of a shape of the dentalsuperstructure, the dental superstructure including first and secondelements, the system comprising: an analyzing unit that analyzes arecorded real clinical situation or shaped clinical situation of theimplant as digital data, and determines an implant axis and an insertionaxis; a computing unit that computes a shape of the dentalsuperstructure based at least in part on the determined implant axis; agenerating unit that generates digital data representing the shape ofthe dental superstructure; and a separating unit that automaticallyseparates the computed shape of the dental superstructure into firstdigital data representing a shape of the first element to be connectedto the implant and second digital data representing a shape of thesecond element to be connected to the first element, the shape of thefirst element being optimized, at least in part, based on a tilt anglebetween the determined implant axis and the determined insertion axis.2. A system as defined in claim 1, further comprising a recording unitthat records the real clinical situation or shaped clinical situation ofthe implant as digital data.
 3. A system as defined in claim 1, furthercomprising a determining unit that determines a mating surface betweenthe first element and the second element.
 4. A system as defined inclaim 1, wherein the first element of the dental superstructure is anabutment.
 5. The system as defined in claim 1, wherein the shape offirst element of the dental superstructure to be connected to theimplant is defined by at least two of the following parameters: ashoulder width, the tilt angle, an angle of rotation of the dentalsuperstructure about a longitudinal axis of a blank, and a height of apost.
 6. The system as defined in claim 1, further comprising afabricating unit that fabricates the first and second elements from oneor more blanks, based on the first digital data and the second digitaldata using machining equipment.
 7. The system as defined in claim 1,further comprising a transmitting unit that transmits the first digitaldata and the second digital data to machining equipment that fabricatesthe first and second elements from one or more blanks.
 8. The system asdefined in claim 1, wherein one of the first and second elements of thedental superstructure is an abutment and the shape of the abutment isoptimized with reference to one or more or all the following parameters:a minimum value for a shoulder width; a maximum height of a postdelimited by the tilt angle, a geometry of a blank, and a height of anocclusal surface, the maximum height of the post being such that thepost is disposed at a maximum distance below the height of the occlusalsurface; a minimum height of the post delimited by the position of ahead of an occlusal screw; an angle of rotation of the abutment aboutthe longitudinal axis in said blank, the angle of rotation being givenby a relative position of said implant in the recorded clinicalsituation.
 9. The system as defined in claim 1, wherein a shape of ablank and the shape of the dental superstructure are described in acoordinate system of a geometry for attachment to said implant.
 10. Thesystem as defined in claim 1, wherein the first element of the dentalsuperstructure is an abutment and the second element of the dentalsuperstructure is one of a crown, a cap, and a reduced crown.
 11. Thesystem as defined in claim 1, wherein the dental superstructure includesthe first element in a form of an abutment, the second element in a formof a partially veneered crown, and a third element in a form of aveneer, and wherein the computing device also is arranged to determine amating surface between the first and second elements and determine amating surface between the third element and the first element and/orthe second element.
 12. A system for a dental superstructure to beattached to an implant using a digital model description of a shape ofthe dental superstructure, the dental superstructure including first andsecond elements, the system comprising: means for analyzing a recordedreal clinical situation or shaped clinical situation of the implant asdigital data, and determining an implant axis and an insertion axis;means for computing a shape of the dental superstructure based at leastin part on the determined implant axis; means for generating digitaldata representing the shape of the dental superstructure; and means forautomatically separating the computed shape of the dental superstructureinto first digital data representing a shape of the first element to beconnected to the implant and second digital data representing a shape ofthe second element to be connected to the first element, the shape ofthe first element being optimized, at least in part, based on a tiltangle between the determined implant axis and the determined insertionaxis.
 13. A system as defined in claim 12, further comprising means forrecording the real clinical situation or shaped clinical situation ofthe implant as digital data.
 14. A system as defined in claim 12,further comprising means for fabricating the first and second elementsfrom one or more blanks, based on the first digital data and the seconddigital data using machine equipment.
 15. A system as defined in claim12, further comprising means for determining a mating surface betweenthe first element and the second element.
 16. A system as defined inclaim 12, wherein the first element of the dental superstructure is anabutment.
 17. A system for a dental superstructure to be attached to animplant using a digital model description of a shape of the dentalsuperstructure, the dental superstructure including first and secondelements, the system comprising a computing device arranged to (a)analyze a recorded real clinical situation or shaped clinical situationof an implant axis and an insertion axis, (b) compute a shape of thedental superstructure based at least in part on the determined implantaxis, (c) generate digital data representing the shape of the dentalsuperstructure, and (d) automatically separate the computed shape of thedental superstructure into first digital data representing a shape ofthe first element to be connected to the implant and second digital datarepresenting a shape of the second element to be connected to the firstelement, the shape of the first element being optimized, at least inpart, based on a tilt angle between the determined implant axis and thedetermined insertion axis.
 18. A system as defined in claim 17, whereinthe computing device also is arranged to determine a mating surfacebetween the first element and the second element.
 19. A system asdefined in claim 17, wherein the first element of the dentalsuperstructure is an abutment.
 20. The system as defined in claim 17,wherein the shape of first element of the dental superstructure to beconnected to the implant is defined by at least two of the followingparameters: a shoulder width, the tilt angle, an angle of rotation ofthe dental superstructure about a longitudinal axis of a blank, and aheight of a post.
 21. The system as defined in claim 17, wherein one ofthe first and second elements of the dental superstructure is anabutment and the shape of the abutment is optimized with reference toone or more or all the following parameters: a minimum value for ashoulder width; a maximum height of a post delimited by the tilt angle,a geometry of a blank, and a height of an occlusal surface, the maximumheight of the post being such that the post is disposed at a maximumdistance below the height of the occlusal surface; a minimum height ofthe post delimited by the position of a head of an occlusal screw; anangle of rotation of the abutment about the longitudinal axis in saidblank, the angle of rotation being given by a relative position of saidimplant in the recorded clinical situation.
 22. The system as defined inclaim 17, wherein a shape of a blank and the shape of the dentalsuperstructure are described in a coordinate system of a geometry forattachment to said implant.
 23. The system as defined in claim 17,wherein the implant axis is interactively determined by a user.
 24. Thesystem as defined in claim 17, wherein the first element of the dentalsuperstructure is an abutment and the second element of the dentalsuperstructure is a crown.
 25. The system as defined in claim 17,wherein the first element of the dental superstructure is an abutmentand the second element of the dental superstructure is a cap.
 26. Thesystem as defined in claim 17, wherein the first element of the dentalsuperstructure is an abutment and the second element of the dentalsuperstructure is a reduced crown.
 27. The system as defined in claim17, wherein the dental superstructure includes the first element in aform of an abutment, the second element in a form of a partiallyveneered crown, and a third element in a form of a veneer, and whereinthe computing device also is arranged to determine a mating surfacebetween the first and second elements and determine a mating surfacebetween the third element and the first element and/or the secondelement.
 28. The system as defined in claim 17, wherein the dentalsuperstructure includes a number of abutments interconnected by a commonframe construction.
 29. The system as defined in claim 17, wherein thefirst element of the dental superstructure to be connected to theimplant is computed in a final size of the first element and the secondelement of the dental superstructure to be connected to the firstelement is computed as a provisional superstructure having exteriordimensions smaller than final exterior dimensions of the dentalsuperstructure while retaining a mating surface between the first andsecond elements.
 30. The system as defined in claim 29, wherein a samedata set is used to compute the first element of the dentalsuperstructure and final dimensions of the provisional superstructure.31. The system as defined in claim 17, further comprising a fabricatingdevice, arranged to fabricate the first and second elements from one ormore blanks, based on the first digital data and the second digital datausing machining equipment.
 32. A system as defined in claim 17, furthercomprising a transmitting device, arranged to transmit the first digitaldata and the second digital data to machining equipment that fabricatesthe first and second elements from one or more blanks.
 33. A system asdefined in claim 17, further comprising a camera that records the realclinical situation or shaped clinical situation of the implant asdigital data.